TSTP Solution File: SWV857-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV857-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:54:35 EDT 2022

% Result   : Unsatisfiable 0.16s 0.45s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f707,plain,
    $false,
    inference(subsumption_resolution,[],[f705,f547]) ).

fof(f547,axiom,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f705,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(resolution,[],[f687,f640]) ).

fof(f640,plain,
    ! [X5] :
      ( ~ hBOOL(hAPP(v_Ga,X5))
      | c_Hoare__Mirabelle_Otriple__valid(v_x,X5,t_a) ),
    inference(resolution,[],[f548,f542]) ).

fof(f542,axiom,
    ! [X2,X28,X11] :
      ( hBOOL(hAPP(hAPP(c_in(X2),X11),X28))
      | ~ hBOOL(hAPP(X28,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f548,axiom,
    ! [X50] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X50),v_Ga))
      | c_Hoare__Mirabelle_Otriple__valid(v_x,X50,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f687,plain,
    hBOOL(hAPP(v_Ga,v_xa)),
    inference(resolution,[],[f594,f635]) ).

fof(f635,plain,
    hBOOL(hAPP(v_tsa,v_xa)),
    inference(resolution,[],[f546,f543]) ).

fof(f543,axiom,
    ! [X2,X28,X11] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X2),X11),X28))
      | hBOOL(hAPP(X28,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f546,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f594,plain,
    ! [X4] :
      ( ~ hBOOL(hAPP(v_tsa,X4))
      | hBOOL(hAPP(v_Ga,X4)) ),
    inference(resolution,[],[f545,f524]) ).

fof(f524,axiom,
    ! [X2,X11,X19,X20] :
      ( ~ c_lessequals(X19,X20,tc_fun(X2,tc_bool))
      | hBOOL(hAPP(X20,X11))
      | ~ hBOOL(hAPP(X19,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).

fof(f545,axiom,
    c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWV857-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31  % Computer : n003.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 30 20:02:07 EDT 2022
% 0.16/0.31  % CPUTime    : 
% 0.16/0.43  % (23316)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.44  % (23327)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.45  % (23327)Instruction limit reached!
% 0.16/0.45  % (23327)------------------------------
% 0.16/0.45  % (23327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45  % (23316)First to succeed.
% 0.16/0.45  % (23316)Refutation found. Thanks to Tanya!
% 0.16/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45  % (23316)------------------------------
% 0.16/0.45  % (23316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45  % (23316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.45  % (23316)Termination reason: Refutation
% 0.16/0.45  
% 0.16/0.45  % (23316)Memory used [KB]: 6908
% 0.16/0.45  % (23316)Time elapsed: 0.072 s
% 0.16/0.45  % (23316)Instructions burned: 21 (million)
% 0.16/0.45  % (23316)------------------------------
% 0.16/0.45  % (23316)------------------------------
% 0.16/0.45  % (23305)Success in time 0.133 s
%------------------------------------------------------------------------------